A man is 26years older than his daughter.He is also 8years older than three times his daughter's age.find the daughters age
M = Man's age
D = Daughter's age
A man is 26 years older than his daughter means:
M = D + 26
He is also 8years older than three times his daughter's age means:
M = 3 D + 8
M = M
D + 26 = 3 D + 8
Subtract D to both sides
26 = 2 D + 8
Subtract 8 to both sides
18 = 2 D
2 D = 18
D = 18 / 2 = 9 yrs
daughter's age --- x
man's age = x+26
x+26 > 3x by 8
x + 26 = 3x + 8
-2x = -18
x = 9
The daughter is 9 years old
check:
daughter : 9
man : 38
is 35 greater than 27 by 8 ?? YUP
answer is correct
9
1third of a number plus 5 and the result is 1and half of the
original number. Find the no.
The answer is 1whole number 3 over 7
To find the daughter's age, we can set up a system of equations based on the given information. Let's use "D" to represent the daughter's age and "M" to represent the man's age.
From the first piece of information, we know that the man is 26 years older than his daughter:
M = D + 26
From the second piece of information, we know that the man is 8 years older than three times his daughter's age:
M = 3D + 8
Now we can solve this system of equations:
Since both equations equal M, we can set them equal to each other:
D + 26 = 3D + 8
Subtract D from both sides:
26 = 2D + 8
Subtract 8 from both sides:
18 = 2D
Divide both sides by 2:
D = 9
Therefore, the daughter's age is 9 years old.